Based on past data, the proportion of Major League Baseball (MLB) players who ba

Question

Based on past data, the proportion of Major League Baseball (MLB) players who bat left handed was 0.678. You are interested to see if this is still the case. You conduct a sample of 32 players and find that 11 are left handed hitters. The 90% confidence interval is ( 0.2056 , 0.4819 ). What is the best conclusion of those listed below?

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1) We can conclude that the proportion of MLB players who are left handed hitters is smaller than 0.678. 2) The confidence interval does not provide enough information to form a conclusion. 3) We can conclude that the proportion of MLB players who are left handed hitters is larger than 0.678. 4) The proportion of MLB players who used to be left handed from 0.678 is 90%. 5) We can not claim that the proportion of MLB players who are left handed hitters differs from 0.678.

Explanation / Answer

11/32 = 0.34375 which does lie in the confidence interval

We can not claim that the proportion of MLB players who are left handed hitters differs from 0.678

So,

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